BRAINCAKE

Angular Speed

OCR A-level PhysicsCircular MotionLesson 3 of 9

The angular speed ω of an object moving in a circle is the angle swept out by the radius per unit time, ω = Δθ/Δt. It is measured in radians per second (rad s-1).

In one complete revolution the object turns through 2π radians in one period T, so ω = 2π/T. Since the frequency f = 1/T, this can also be written as ω = 2πf.

Diagram

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Key terms in this lesson

radian
The angle subtended at the centre of a circle by an arc equal in length to the radius of the circle.
angular displacement
The angle, measured in radians, through which an object has turned or been displaced.

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